73 unsigned long GetCaps ()
const {
return 0; }
74 int nNode ()
const {
return 10; }
75 int nSide ()
const {
return 3; }
78 int SideNode (
int side,
int node)
const;
91 double IntF (
int i)
const;
93 double IntFF (
int i,
int j)
const;
94 double IntFFF (
int i,
int j,
int k)
const;
97 double IntFDD (
int i,
int j,
int k)
const;
108 int GlobalIntersection (
const NodeList &nlist,
const Point &p1,
110 { ERROR_UNDEF;
return 0; }
112 { ERROR_UNDEF;
return 0; }
129 double ComputeSize (
const NodeList &nlist)
const;
131 void ComputeIntFD (
const NodeList &nlist);
134 int GetLocalSubsampleAbsc (
const Point *&absc)
const;
136 double a0, b0, c0, a1, b1, c1, a2, b2, c2;
139 #ifdef TRI10_STORE_COORDS
140 double n0x, n0y, n1x, n1y, n2x, n2y, n3x, n3y, n4x, n4y;
141 double n5x, n5y, n6x, n6y, n7x, n7y, n8x, n8y, n9x, n9y;
147 #ifdef TRI10_STORE_INTFF
BYTE Type() const
Returns an element type identifier.
Definition: tri10.h:72
RSymMatrix BndIntPFF(const RVector &P) const
Surface integrals of all products of a nodal function and two shape functions over all boundary sides...
Definition: tri10.h:105
Templated vector class.
Definition: vector.h:39
virtual bool GContains(const Point &glob, const NodeList &nlist) const
Checks if a global point coordinate is inside the element.
A 10-noded 2-dimensional triangle element with straight edges and 3rd order shape functions...
Definition: tri10.h:58
virtual RSymMatrix IntFF() const =0
Integrals of all products of two shape functions over the element.
unsigned long GetCaps() const
Returns element capability flags.
Definition: tri10.h:73
virtual RVector DirectionCosine(int side, RDenseMatrix &jacin)=0
Returns the direction cosines of a side normal.
virtual RVector GlobalShapeF(const NodeList &nlist, const Point &glob) const
Returns the values of the shape functions at a global point.
Definition: element.h:490
virtual double IntFFF(int i, int j, int k) const =0
Integral of a product of three shape functions over the element.
RSymMatrix IntPDD(const RVector &P) const
All integrals of products of a nodal function and two shape function derivatives over the element...
Definition: tri10.h:98
virtual double BndIntFFSide(int i, int j, int sd)=0
Surface integral of a product of two shape functions over one of the sides of the element...
virtual RDenseMatrix LocalShapeD(const Point &loc) const =0
Returns the values of the shape function derivatives at a local point.
virtual const RVector & LNormal(int side) const =0
Returns a side normal in local coordinates.
virtual RSymMatrix IntPFF(const RVector &P) const =0
Integrals of all products of two shape functions and a nodal function over the element.
int nNode() const
Returns the number of nodes associated with the element.
Definition: tri10.h:74
virtual double BndIntFSide(int i, int sd)
Surface integral of a shape function over one of the sides of the element.
Definition: element.h:707
virtual void Initialise(const NodeList &nlist)
Element initialisation.
#define ELID_TRI10
10-noded triangle
Definition: element.h:39
int nSideNode(int) const
Returns the number of vertices associated with a side.
Definition: tri10.h:77
virtual RSymMatrix BndIntPFF(const RVector &P) const =0
Surface integrals of all products of a nodal function and two shape functions over all boundary sides...
virtual int nNode() const =0
Returns the number of nodes associated with the element.
Base class for finite element types.
Definition: element.h:84
virtual RSymMatrix IntPDD(const RVector &P) const =0
All integrals of products of a nodal function and two shape function derivatives over the element...
Base class for all 2-D unstructured element types.
Definition: element.h:1234
virtual double IntF(int i) const =0
Integral of a shape function over the element.
virtual RVector LocalShapeF(const Point &loc) const =0
Returns the values of the shape functions at a local point.
int nSide() const
Returns the number of element sides.
Definition: tri10.h:75
virtual Element * Copy()=0
Create a copy of the element and return a pointer to it.
Dense matrix class.
Definition: crmatrix.h:38
virtual Point Local(const NodeList &nlist, const Point &glob) const =0
Maps a point from global to local element coordinates.
virtual double IntFDD(int i, int j, int k) const =0
Integral of a product of a shape function and two shape function derivatives over the element...
virtual Point NodeLocal(int node) const =0
Returns the local coordinates of an element node.
virtual int SideNode(int side, int node) const =0
Returns relative node index for a side vertex.
virtual bool LContains(const Point &loc, bool pad=true) const =0
Checks if a local point coordinate is inside the element.